Greatest Common Factor of 2710 and 2718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2710, 2718 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2710 and 2718 is 2.

GCF(2710,2718) = 2

GCF of 2710 and 2718

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 2710 and 2718

GCF of 2710 and 2718 is 2

Prime Factorization of 2710


2 2710
5 1355
271 271
1

Prime factors of 2710 are 2,5,271. Prime factorization of 2710 in exponential form is:

2710 = 21×51×2711

Prime Factorization of 2718


2 2718
3 1359
3 453
151 151
1

Prime factors of 2718 are 2,3,151. Prime factorization of 2718 in exponential form is:

2718 = 21×32×1511

∴ So by taking common prime factors GCF of 2710 and 2718 is 2

Greatest Common Factor of 2710 and 2718 by matching factors method

Factors of 2710

List of positive integer factors of 2710 that divides 2710 without a remainder.

1,2,5,10,271,542,1355,2710

Factors of 2718

List of positive integer factors of 2718 that divides 2718 without a remainder.

1,2,3,6,9,18,151,302,453,906,1359,2718

Greatest Common Factor

We found the factors and prime factorization of 2710 and 2718. The biggest common factor number is the GCF number.
So the greatest common factor 2710 and 2718 is 2.

Also check out the Least Common Multiple of 2710 and 2718

Properties of GCF 2710 and 2718

(i) The GCF of 2710 and 2718 is associative

GCF of 2710 and 2718 = GCF of 2718 and 2710

Related Greatest Common Factor of 2710

Related Greatest Common Factor of 2718

Frequently Asked Questions on GCF of 2710 and 2718

1. What is the GCF of 2710 and 2718?

Answer: GCF of 2710 and 2718 is 2.

2. What are the Factors of 2710?

Answer: Factors of 2710 are 1, 2, 5, 10, 271, 542, 1355, 2710. There are 8 integers that are factors of 2710. The greatest factor of 2710 is 2710.

3. What are the Factors of 2718?

Answer: Factors of 2718 are 1, 2, 3, 6, 9, 18, 151, 302, 453, 906, 1359, 2718. There are 12 integers that are factors of 2718. The greatest factor of 2718 is 2718.

4. How to Find the GCF of 2710 and 2718?

Answer:

Greatest Common Factor of 2710 and 2718 = 2

Step 1: Find the prime factorization of 2710

2710 = 2 x 5 x 271

Step 2: Find the prime factorization of 2718

2718 = 2 x 3 x 3 x 151

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 2710 and 2718 is 2